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Preprints, Working Papers, ... Year : 2016

Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

Abstract

The initial value problem and global properties of solutions are studied for the vector equation: $\Big(\|u'\|^{l}u'\Big)'+\|A^{\frac{1}{2}}u\|^\beta Au+g(u')=0$ in a finite dimensional Hilbert space under suitable assumptions on $g$.
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Dates and versions

hal-01246750 , version 1 (19-12-2015)
hal-01246750 , version 2 (07-12-2016)

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Mama Abdelli, María Anguiano, Alain Haraux. Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space. 2016. ⟨hal-01246750v2⟩
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